Answer:
Step by step Solution :-
25X^2 + Y^2 = 25
A) Finding X value :-
1. Subtract Y^2 from both sides:
25X^2 = 25 - Y^2
2. Divide both sides by 25 :
( 25X^2 ) ÷ 25 = ( 25 - Y^2 ) ÷ 25
3. Dividing by 25 undo the multiplication by 25 :
X^2 = ( 25 - Y^2 ) ÷ 2
4. Divide ( 25 - Y^2 ) by 25 :
X^2 = ( - Y^2 ÷ 25 ) + 1
5. Take Square Root for both sides of equation ( before & after (=) ) :
X = √ ( 25 - Y^2 ) ÷ 5
X = - √ ( 25 - Y^2 ) ÷ 5
------------
Now that we knew what X value is, we'll figure out Y value too!
B) Finding Y value ( Finding Square Root ):-
Y^2 = 5√ ( 1 - X^2 )
1. Finding Square Root :
25X^2 + Y^2 = 25
2. Subtract 25X^2 value from both sides :
Y^2 = 25 - 25X^2
3. Take square root for both sides of equation :
Y = 5√ ( 1 - X^2 )
Y = - 5√ ( 1 - X^2 )
convert y = -0.5(x + 4)^2 - 2 standard form
Answer:
I think the answer is: y = 0.5x^2 + 4x + 6, <3
Step-by-step explanation:
without solving what can you tell about the solution to this equation?
Answer:
A
Step-by-step explanation:
B could be any number, and given that there is no sum, you cannot possibly determine what number B is.
Answer:
A
Step-by-step explanation:
An infinite solution has both sides equal.
In question 1, the left part is equal to the right part
A cardboard box, which has the shape of a parallelepiped, has the following sizes: 35 cm by 27 cm
(rectangular base). The height of the box is - 27 cm. Calculate the volume of the box.
Answer:
25,515
Step-by-step explanation:
35 x 27 x 27
945 x 27
25,515
what number is 90% of 140?
126
Step-by-step explanation:A percentage is a proportion of some whole number. There are 2 ways to find percentages. Firstly, you can multiply by a decimal, or you can use a shortcut.
Multiplying with Decimals
You can always rewrite percentages as decimals. To do this move the decimal point 2 digits to the left. This means that 90% becomes 0.90. Then multiply this decimal by the whole number to find the correct percentage.
0.90 * 140 = 126Shortcut
Because 90% is a multiple of 10%, we can use a shortcut. First off, find 10% of 140. To find 10% of any number, move the decimal 1 digit to the left. This means 10% of 140 is 14.0. Next, 90% is 10% less than 100%. So, subtract 10% from 140 to find 90%.
140 - 14 = 126Answer:
126
Step-by-step explanation:
We need to find 90% of 140.
90% is the same as 0.9 or 9/10.
140 can be written as 14 x 10.
Multiply 14 x 10 with 9/10.
⇒ 14 x 10 x 9/10
[The 10 and 1/10 cancel out by cross multiplication]
⇒ 14 x 9
⇒ 126
Use the equation below to find c, if a=43 and b= 53.
C= = 180-a-5
Answer:
180-a-5
180-43-5
180-48
180-48=132
c=132
Consider the sequence below:
5, 8, 13, 20, 29 …
What is the 10th term of the sequence?
Its counting by odd numbers
3, 5, 7, 9, 11, 13, 15, 17, 19, 21
5,8,13,20,29,40,53,68,85,104,125
Answer:
40,53,68,85,104,125,148, 173, 200, 229
Joshua spends 25 minutes of each day reading. He reads d days a week. Let m represent the number total minutes of reading a week. Write an equation to represent the situation. help I didn't study for math class and I have a test
Answer:
25 x D = Y
Step-by-step explanation:
Example: Say he reads for three days a week.
25 x 3 = 75
or 6 days
25 x 6 = 150
or 4
25 x 4 = 100
ithout graphing, determine the number of solutions to the system of equations.
2x−10y=−2
y=x/5−1
Select the correct answer below:
no solution
one solution
infinitely many solutions
Answer:
No solution
Step-by-step explanation:
(I am going to use substitution)
2x−10y=−2
y=x/5−1
(Substitute the y into the other problem)
2x - 10 (x/5 -1) = -2
2x - 2x + 10 = -2
10 = -2
No solution
Hope this helps :)
KellyConnect
Cameron Moore
Customer: "I just purchased 9 products from you at $44.00 each. I just realized my
company offers a 20% discount on all of your products. Can you tell me what my new
total should be?"
Answer:
$316.8
Step-by-step explanation:
9 x 44 = 396
396 × 0.80 = $316.8
or
396 * 0.20 = 79.2
396 - 79.2 = $316.8
An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
312
350
494
700
Answer: The answer is B:350
Step-by-step explanation:
edge
Answer:
B
Step-by-step explanation:
Got it right
Which fraction represents the decimal 0.8888...?
StartFraction 80 Over 99 EndFraction
StartFraction 1,111 Over 1,250 EndFraction
Eight-ninths
Nine-eighths
Answer:
8/9
Step-by-step explanation:
A fraction that has denominator factors of 2 or 5 (only) will be finite in length. It will not be a repeating decimal fraction. This eliminates choices B and D.
The number of 9s in the denominator of a repeating decimal fraction will be equal to the number of repeating digits. The fraction 0.8888... has one repeating digit (8), so it can be written as 8/9.
_____
Additional comment
The fraction 80/99 will be the 2-digit repeating decimal 0.808080...
The fraction 1111/1250 evaluates to 0.8888, a 4-digit decimal fraction that does not repeat.
__
A fraction such as 0.142857...(6-digit repeat) can be written as ...
124857/999999 . . . . denominator has 6 nines
This fraction reduces to 1/7.
[tex] \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\sf { \rightarrow \: \red{i \: dont \: know \: anymore}}\end{array}}\end{gathered} \end{gathered}[/tex][tex] \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\sf { \rightarrow \: \red{i \: dont \: know \: anymore\:\color{green}☘}}\end{array}}\end{gathered} \end{gathered}[/tex]
[tex] \color {blue} \rule {1pt} {100000pt} [/tex]
given : PK and PL - tangent
KM perpendicular KP
angle KML = 50°
Solve - angle KPL
Please help me with how to solve this, thanks!
Answer:
∠KPL = 80°
Step-by-step explanation:
As KM is perpendicular to KP, this means that KM is the diameter of the circle, as the tangent of a circle is always perpendicular to the radius.
The angle at the circumference in a semicircle is always a right angle. So if KM is the diameter then ΔKLM is a right triangle with ∠KLM = 90°
The sum of the interior angles of a triangle is 180°.
Therefore, ∠KLM + ∠KML + ∠LKM = 180°
As ∠KLM = 90° and ∠KML = 50°
⇒ 90° + 50° + ∠LKM = 180°
⇒ ∠LKM = 40°
As ∠PKM = 90° then
⇒ ∠PKL = 90 - ∠LKM
= 90 - 40
= 50°
Tangents from a common point to a circle are always equal in length, so as PK and PL are tangents from point P, then PK = PL
Therefore, ΔLPK is an isoceles triangle and so its base angles ∠PKL and ∠PLK will be equal.
Since ∠PKL = 50° then ∠PLK = 50°
Again, as the sum of interior angles of a triangle is 180°:
⇒ ∠KPL + ∠PKL + ∠PLK = 180°
⇒ ∠KPL + 50° + 50° = 180°
⇒ ∠KPL = 80°
Expand the logarithmic expression log3(2xy3z5). Question 9 options: A) 2(log3x + 3log3y + 5log3z) B) log32x + log3y3 + log3z5 C) log32 + log3x + 3log3y − 5log3z D) log32 + log3x + 3log3y + 5log3z
Answer: D
Step-by-step explanation:
[tex]\log _{3}\left(2 x y^{3} z^{5}\right) \\ =\log _{3} 2+\log _{3} x+\log _{3} y^{3}+\log _{3} z^{5}[/tex]
[tex]\left(\because \log _{c}(a \cdot b)=\log _{c} a+\log _{c} b\right)[/tex]
[tex]=\log _{3} 2+\log _{3} x+3 \log _{3} y+5 \log _{3}z \rightarrow \left(\because \log _{c} a^{b}=b \log _{c} a\right)[/tex]
Therefore, Option D is the correct answer
What is the value of 5^3i^9
Answer:
5^(3)i^(9)= five cubes times i to the power of 9=125i
Step-by-step explanation:
Raise 5 to the power of 3
rewrite i9 as (i^4)2^i
so, you get 125((i^4)^2i)
i^4=1
125(1^2i)
125i
If prices increase at a monthly rate of 0.1%, by what percentage do they increase in a year?
Answer:
Step-by-step explanation:
Since the prices increase at a monthly rate of 0.1% per month. To find the percentage do they increase a year, we need to convert 0.1% to a decimal.
So here how we do it. We put 0.1 percent on the numerator because it a small number which is what we want over 100 like this:
[tex]\frac{0.1}{100}[/tex]
Now when plugging this into your calculator you get:
0.001
.So what do we do with this number?
We now times it by 12 like this:
0.001 x 12 which gives us:
0.012
So we can convert this back to a percentage by moving the decimal by 2 places to the right which gives us 1.2%.
Another way we could of done this without doing the long way to figure it out is by multiplying 0.1 times 12 which still gives us 1.2%
Solve the system of equations.
5x−4y=−10
y=2x−5
Answer:
x = 10
y = 15
Step-by-step explanation:
5x − 4y = −10 ⇒ ( 1 )
y = 2x − 5 ⇒ ( 2 )
Let us find the value of x.
For that, we can replace y with ( 2x - 5 ).
Let us take equation 1.
5x − 4y = −10
5x - 4 ( 2x − 5 ) = -10
5x - 8x + 20 = -10
-3x = -20 - 10
-3x = - 30
Divide both sides by ( -3 ).
x = 10
And now let us find the value of y.
Let us take equation 2.
y = 2x − 5
y = 2 × 10 - 5
y = 20 - 5
y = 15
Answer:
X=10
Step-by-step explanation:
5x-4y=-10.....1
y=2x-5......2
sub 2 into 1
5x-4(2x-5)=-10
5x-8x+20=-10
5x-8x=-10-20
-3x=-30
x=10
sub x=10 into 2
y=2(10)-5
y=20-5
y=15
At an intersection in Normal, Illinois, there were 90 vehicle accidents with 168,199 vehicles passing through the intersection. Determine the accident rate per 1000 vehicles.
The set of ordered pairs below is a relation. {(1, 5), (0, 2), (-1, -1), (-2, -4)} What is the range of the relation?
Answer:
{ - 4, - 1, 2, 5 }
Step-by-step explanation:
the range is the values of y from the ordered pairs in the relation
range = { - 4, - 1, 2, 5 }
At a concession stand, seven hot dog(s) and four hamburger(s) cost $21:25, four hot dog(s) and seven hamburger(s) cost $22.75 Find the cost of one hot dog and the cost of one hamburger
Step-by-step explanation:
If 4 hamburger = $21.25
1 hamburger = x
Cross multiply
4 x x = $21.25 x 1
4x = $21.25
Devide both side with the coefficient of x
4x/4 = $21.25/4
X = $5.3125
Therefore 1 hamburger cost $5.31
If 4 hotdogs = $22.75
1 hotdog = y
Cross multiply
4 x y = $22.75 x 1
4y = $22.75
Devide both sides with the coefficient of y
4y/4 = $22.75/4
Y = $5.6875
Therefore one hotdog cost $5.69
Answer:
See below ↓↓↓
Step-by-step explanation:
Given :
7 hot dogs + 4 hamburgers = $21.504 hot dogs + 7 hamburgers = $22.75Let's set some variables.
hot dogs = xhamburgers = ySo, our equations are :
7x + 4y = 21.504x + 7y = 22.75Mulitply equation #1 by 7 and equation #2 by 4.
49x + 28y = 150.50 (Equation 3)16x + 28y = 91.00 (Equation 4)Subtract equation 4 from equation 3.
49x - 16x + 28y - 28y = 150.5 - 9125x = 59.5x = $2.38 [cost of one hot dog]Substitute value of x in equation 4.
16(2.38) + 28y = 9138.08 + 28y = 9128y = 52.92y = $1.89 [cost of one hamburger]30x³ + 10x²
Help me please
*basically you write the function in its simplest term where you cannot
simplify it further
So:
[tex]30x^3+10x^2 = 10(3x^3+x^2) = 10x^2(3x+1)[/tex]
Answer: [tex]30x^3+10x^2[/tex] when factorized ⇒ [tex]10x^2(3x+1)[/tex]
Hope that helps!
Help my 9 year old sister please
Answer:
He multiplied 28 by 7 instead of dividing it.
28 times 7 equals 196.
Step-by-step explanation:
I hope this helps! Have a lovely day!!! :)
evaluate F (-1) where f (x) is the piece wise function graphed below
Check the picture below.
A runner's journal shows the number of miles run each day for a week:
Sunday: 1 miles
Monday: 4 miles
Tuesday: 7 miles
Wednesday : 10 miles
Thursday: 13 miles
Friday: 16 miles
Saturday:
Based on the arithmetic sequence how many miles are planned for Saturday?
The number of miles planned on Saturday is 19 milea
What is an arithmetic sequence?This means the sequence where the difference between one term and the next term is a constant.
In this case, the following information are illustrated:
Sunday: 1 miles
Monday: 4 miles
Tuesday: 7 miles
Wednesday : 10 miles
Thursday: 13 miles
Friday: 16 miles
As we can see there's a difference of three between them. This can be seen as:
= 4 miles - 1 mile
= 3 miles
Therefore, the number planned on Saturday will be:
= Friday + 3 miles
= 16 miles + 3 miles
= 19 miles
Learn more about sequence on;
brainly.com/question/6561461
#SPJ1
Solve the equation. \dfrac34 =m+\dfrac14 4 3 =m+ 4 1 start fraction, 3, divided by, 4, end fraction, equals, m, plus, start fraction, 1, divided by, 4, end fraction m=m=m, equals
Answer:
[tex]\boxed{\dfrac{1}{2} = m}[/tex]
Step-by-step explanation:
Given equation:
[tex]\dfrac{3}{4} = m + \dfrac{1}{4}[/tex]
Step-1: Subtract 1/4 both sides
[tex]\dfrac{3}{4} = m + \dfrac{1}{4}[/tex]
[tex]\dfrac{3}{4} - \dfrac{1}{4} = m[/tex]
[tex]\dfrac{2}{4} = \boxed{\dfrac{1}{2} = m}[/tex]
help i need help i mark branliest
Answer:
48°
Step-by-step explanation:
Vertically opposite angles are equal. Angle 7 is vertically opposite to angle 5.
Answer:
The measure of angle 7 is 48 degrees
Step-by-step explanation:
Angle 5 and 7 are opposite angles. Opposite angles are congruent.
PLS HELP NO LINKS!!!!!!!! 30 POINTS
Answer:
I'm sure it's the second one
Answer:
second answer is correct
this is k 12 help,
please!!! for (100 points)
Answer:
14 m²
area of sqaure pyramid: a² + 2(a)(l)
a = side of the base l = slant heightarea:
(2)² + 2(2)(2.5)14 m²The Diameter of the medal is 6cm , thickness is 0,035cm determine the radius of the medal
in a deck of 52 how many card combinations are greater then 16?
need pic pls so I can answer your questions
Cooper's family is going to relax at the beach all day! In preparation, Cooper made s sandwiches for them to eat when they get hungry. Cooper put 3 slices of turkey and 3 slices of ham on each sandwich.
Pick all the expressions that represent how many slices of meat Cooper used on the sandwiches.